Final answer:
The unlimited movies option from a video streaming service will be a better value than paying $1.99 per movie after watching more than 8 movies in a month.
Step-by-step explanation:
The question asks after how many movies would the unlimited option from a video streaming service be a better value compared to paying per movie.
The unlimited movies option is $15 per month versus $1.99 per individual movie.
To determine after how many movies the unlimited option becomes more cost-effective, we can set up an inequality where 1.99 times the number of movies (n) is greater than $15.
1.99n > 15
Now, divide both sides by 1.99 to solve for n:
n > 15 / 1.99
n > 7.54
Since you cannot watch a fraction of a movie, we round up to the nearest whole number.
n > 8
Therefore, the unlimited option is a better value after watching more than 8 movies in a month.